If you have filled the field GENRE, the file name has been set in step 2, then I wonder if an action of the type "Format tag value" for _FILENAME with a format string like
music/%genre%/%_filename%
(in which you replace "music" with the string that leads to the root folder of which all the genre folders are the sub folders).
This moves the current file to that location of a genre folder.
Isn't this what you would have done with the Windows version and "move":
select the files of the same genre (as they are sorted by genre),
Navigate to the "Move" function
Select the target folder
Start the "Move".
I still have not grasped why the "move" function - which has been disputed for the windows version to be ignorant of the source folder structure:
But in your case, I take it, all the files are already in one folder and need to be distributed to several folders.
For this task, the function to rename the filename with a path component is the fastest way.